HOMOTOPY ANALYSIS METHOD FOR SOLVING KDV EQUATIONS

Hossein Jafari and M. A. Firoozjaee

Abstract. A scheme is developed for the numerical
study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers
(KdVB) equations with initial conditions by a homotopy approach. Numerical
solutions obtained by homotopy analysis method are compared with exact
solution. The comparison shows that the obtained solutions are in excellent
agreement.